What kind of public assistance ?
I know its a tough situation to be in. But try very hard not to try stress.. See if there are any other family members or good friends u can stay with until you can see what public assistance you can get For u and your family.
I'm going through a similar situation except I'm the only one getting pushed out the door while my baby dad living happily in another part of the city and I'm deciding to go to a shelter..
You don't have any others family that can help you guys.
Try public housing in ur state